Analytical Micromechanics Models for Elastoplastic Behavior of Long Fibrous Composites: A Critical Review and Comparative Study

Abstract

Elasto-plastic models for composites can be classified into three categories in terms of a length scale, i.e., macro scale, meso scale, and micro scale (micromechanics) models. In general, a so-called multi-scale model is a combination of those at various length scales with a micromechanics one as the foundation. In this paper, a critical review is made for the elastoplastic models at the micro scale, and a comparative study is carried out on most popular analytical micromechanics models for the elastoplastic behavior of long fibrous composites subjected to a static load, meaning that creep and dynamic response are not concerned. Each model has been developed essentially following three steps, i.e., an elastic homogenization, a rule to define the yielding of a constituent phase, and a linearization for the elastoplastic response. The comparison is made for all of the three aspects. Effects of other issues, such as the stress field fluctuation induced by a high contrast heterogeneity, the stress concentration factors in the matrix, and the different approaches to a plastic Eshelby tensor, are addressed as well. Correlation of the predictions by different models with available experimental data is shown.

Simulation and experimental study of mechanical and fracture behavior of 2.5D woven C‐fiber/aluminum composites under warp directional tension loading

“…The transverse and shear strengths of the yarns were calculated using the bridging model constitutive theory of unidirectional composite materials, which was developed by Wang and Huang. 32 The transverse strength was assessed as follows:…”

A micromechanics based elasto-plastic damage model for unidirectional composites under off-axis tensile loads

“…For example, the incremental tangent model 5 , deformation secant model 6 , incremental-secant model 7 , isotropization Eshelby tensor approach 2 , etc. A comprehensive review concerning elastoplastic models can be found in Kanouté et al 8 , Saeb et al 9 and Wang et al 10,11 However, it is reported that the predicted properties of such models are too stiff compared with experiment data 12 . Some researchers 13,14 believe that it is because such models take the elasto-plastic deformation of a matrix as the only source of nonlinearity of a composite while the contribution of interface damage is ignored.…”

“…(3-6) with tangent instantaneous ones, as shown in Eqs. (10)(11)(12). Parameters with superscript or subscript t denote tangent instantaneous quantities.…”

Homogenization and Localization of Ratcheting Behavior of Composite Materials and Structures with the Thermal Residual Stress Effect

“…Numerical modeling of ratcheting of the composites has been investigated by many researchers during the past decades [20,21,22,23,24,25]. The classical micromechanics models under the framework of the Eshelby theory [26] and the Mori–Tanaka model [20,21] were built to simulate the mechanical response of metal matrix composites.…”